{ [M:Type  Type]
    r:pRunType(P.M[P])
      SWellFounded(x run-pred(r) y) 
      supposing e:runEvents(r)
                  ((fst(fst(run-info(r;e)))) < run-event-step(e)) }

{ Proof }



Definitions occuring in Statement :  run-pred: run-pred(r),  run-event-step: run-event-step(e),  runEvents: runEvents(r),  run-info: run-info(r;e),  pRunType: pRunType(T.M[T]),  uimplies: b supposing a,  uall: [x:A]. B[x],  infix_ap: x f y,  so_apply: x[s],  pi1: fst(t),  all: x:A. B[x],  less_than: a < b,  function: x:A  B[x],  universe: Type,  strongwellfounded: SWellFounded(R[x; y])
Definitions :  uall: [x:A]. B[x],  all: x:A. B[x],  so_apply: x[s],  uimplies: b supposing a,  strongwellfounded: SWellFounded(R[x; y]),  infix_ap: x f y,  member: t  T,  so_lambda: x.t[x],  exists: x:A. B[x],  implies: P  Q,  prop: ,  top: Top,  subtype: S  T,  nat: ,  guard: {T}
Lemmas :  run-pred-step-less,  runEvents_wf,  run-event-step_wf,  run-pred_wf,  nat_wf,  pi1_wf_top,  top_wf,  run-info_wf,  Id_wf,  pMsg_wf,  pRunType_wf

\mforall{}[M:Type  {}\mrightarrow{}  Type]
    \mforall{}r:pRunType(P.M[P])
        SWellFounded(x  run-pred(r)  y) 
        supposing  \mforall{}e:runEvents(r).  ((fst(fst(run-info(r;e))))  <  run-event-step(e))


Date html generated: 2011_08_16-PM-07_04_33
Last ObjectModification: 2011_06_18-AM-11_17_57

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